Quantification of concurrence via weak measurement
: Tukiainen M, Kobayashi H, Shikano Y
Publisher: AMER PHYSICAL SOC
: 2017
: Physical Review A
: PHYSICAL REVIEW A
: PHYS REV A
: ARTN 052301
: 95
: 5
: 6
: 2469-9926
: 2469-9934
DOI: https://doi.org/10.1103/PhysRevA.95.052301
: https://research.utu.fi/converis/portal/detail/Publication/20686998
Since entanglement is not an observable per se, measuring its value in practice is a difficult task. Here we propose a protocol for quantifying a particular entanglement measure, namely, concurrence, of an arbitrary two-qubit pure state via a single fixed measurement setup by exploiting so-called weak measurements and the associated weak values together with the properties of the Laguerre-Gaussian modes. The virtue of our technique is that it is generally applicable for all two-qubit systems and does not involve simultaneous copies of the entangled state. We also propose an explicit optical implementation of the protocol.